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LetA [ 1 . . . n ] be an array of n distinct numbers. If i < j and A [ i ] >
LetA n be an array of n distinct numbers. If i j and Ai Aj then the pair
i j is called an inversion of A
a What is the maximum number of inversions an array A can have?
b What is the minimum number of inversions an array A can have?
c determine the inversions of A list them all
d provided modify the insertionsort algorithm so that the algorithm counts the
total number of inversions
e Suppose A n and B n are two arrays with identical elements not neces
sarily same order Professor Stooge has hypothesized that if these two arrays have the
same number of inversions then the order of the arrays are identical. Is Professor Stooge
correct? Explain.
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